Lectures on Elliptic Partial Differential Equations
Authors: Ambrosio, Luigi, Carlotto, Alessandro, Massaccesi, Annalisa
Free Preview- Originated from the Ph.D. course given by Luigi Ambrosio at the Scuola Normale Superiore in the academic year 2009-2010
- Covers the most recent contents being related to the theory of viscosity solutions
- Provides the most classical aspects of the theory of Elliptic Partial Differential Equations and Calculus of Variations
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- About this Textbook
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The book originates from the Elliptic PDE course given by the first author at the Scuola Normale Superiore in recent years. It covers the most classical aspects of the theory of Elliptic Partial Differential Equations and Calculus of Variations, including also more recent developments on partial regularity for systems and the theory of viscosity solutions.
- About the authors
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Luigi Ambrosio is full Professor at the Scuola Normale Superiore in Pisa, Italy.
Alessandro Carlotto is Professor at the ETH Zürich in Switzerland.
Annalisa Massaccesi is Research Scholarship Holder at the Università di Verona in Italy.
- Table of contents (5 chapters)
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Variational aspects of some classes of elliptic problems
Pages 1-27
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Classical regularity theory for linear problems
Pages 29-50
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Interior regularity for nonlinear equations
Pages 51-98
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Regularity for systems
Pages 99-122
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Viscosity solutions
Pages 123-167
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Table of contents (5 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Lectures on Elliptic Partial Differential Equations
- Authors
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- Luigi Ambrosio
- Alessandro Carlotto
- Annalisa Massaccesi
- Series Title
- Lecture Notes (Scuola Normale Superiore)
- Series Volume
- 18
- Copyright
- 2018
- Publisher
- Edizioni della Normale
- Copyright Holder
- Edizioni della Normale
- eBook ISBN
- 978-88-7642-651-3
- DOI
- 10.1007/978-88-7642-651-3
- Softcover ISBN
- 978-88-7642-650-6
- Edition Number
- 1
- Number of Pages
- X, 230
- Topics
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